Publishing house Radiotekhnika

"Publishing house Radiotekhnika":
scientific and technical literature.
Books and journals of publishing houses: IPRZHR, RS-PRESS, SCIENCE-PRESS

Тел.: +7 (495) 625-9241


Transients in operational amplifier with exponential transfer characteristic of correction capacitor driver


N.N. Prokopenko – Dr. Sc. (Eng.), Professor, Head of Department «Information Systems and Radio Engineering», Don State Technical University (Rostov-on-Don)
A.R. Gaiduk – Dr. Sc. (Eng.), Professor, Department of Automatic Control Systems,
Southern Federal University (Rostov-on-Don – Taganrog)
A.V. Bugakova – Undergraduate, Department «Information Systems and Radio Engineering»,
Don State Technical University (Rostov-on-Don)

In the schemes of high-speed operational amplifiers (op-amp) the correction capacitor drivers (DCc) with exponential feed-through characteristic are used. Their main feature is the low current consumption in the static mode and the high speed of the recharging of the correction capacitor Cc on a large signal. The op-amp considered in this article contains the DCc and the classical buffer amplifier. The correction capacitor Cc and the equivalent resistance Ri in the high-impedance node ensure the stability of the circuit and form the low-signal frequency of the unity gain of the op-amp. All elements of the functional scheme of the op-amp, except the driver DCc, are linear and are described by differential and algebraic equations. Moreover, DCc has an exponential dependence of the output current from the input voltage. The presence of the exponential function in the differential equation describing the op-amp makes the solution of this equation very difficult and, judging from the reference literature, it is not known. Therefore, the solution is found under the condition that the correction circuit of the op-amp has a sufficiently large time constant. This allows us to neglect the linear term in the original differential equation. The analytic estimates of the transient’s time obtained in this paper are approximate, since the expansion of the logarithmic function in a series with the retention of only the first power of the variable was used in their derivation. It is shown that the transient of the op-amp with the exponential characteristic of the driver is a monotonically increasing. Practically, the formulas for the transient time give acceptable results for the typical driver schemes. Recommendations on the selection of the main parameters of the op-amp are given.

  1. Nikamin V.A. Analogo-czifrovy'e i czifro-analogovy'e preobrazovateli. Spravochnik. SPb.: KORONA print; M.: Al'teks A». 2003. 224 s.
  2. Filanovsky I.M., Ivanov V.V. Operational Amplifier Speed and Accuracy Improvement: Analog Circuit Design with Structural Methodology. Kluwer Academic Publishers, New York, Boston, Dordrecht. London. 2004. 194 p.
  3. Gajduk A.R. Absolyutno invariantnoe upravlenie silovoj ustanovkoj letatel'nogo apparata // Mexatronika, avtomatizacziya, upravlenie. Zhurnal v zhurnale «Upravlenie i informatika v aviakosmicheskix i morskix sistemax». 2010. № 11. S. 65−68.
  4. Kalyaev I.A., Gajduk A.R. Stajny'e princzipy' upravleniya v gruppe ob''ektov // Mexatronika, avtomatizacziya, upravlenie. 2004. № 12. S. 29−33.
  5. Neydorf R.A. Synthesis of Time Quasi-Optimal Asymptotically Stable Control Laws // SAE Technical Papers 2015-01-2481. 2015. DOI:10.4271/2015-01-2481.
  6. Gajduk A.R., Belyaev V.E., P'yavchenko T.A. Teoriya avtomaticheskogo upravleniya v primerax i zadachax s resheniyami v MATLAB. SPb.: LAN'. 2011. 464 s.
  7. Anisimov V.I., Kapitonov M.V., Prokopenko N.N., Sokolov Yu.M. Operaczionny'e usiliteli s neposredstvennoj svyaz'yu kaskadov. L.: E'nergiya. 1979. 148 s.
  8. Prokopenko N.N. Nelinejnaya aktivnaya korrekcziya v preczizionny'x analogovy'x mikrosxemax. Rostov-na-Donu: Izd-vo Severo-Kavkazskogo nauchnogo czentra vy'sshej shkoly'. 2000. 222 s.
  9. Prokopenko N.N., Budyakov A.S. Arxitektura i sxemotexnika by'strodejstvuyushhix operaczionny'x usilitelej. Shaxty': YuRGUE'S. 2006. 232 s.
  10. Ramirez-Angulo J., Gonzalez-Carvajal R., Torralba A. and Nieva C. A new class AB differential input stage for implementation of low- voltage high slew rate op amps and linear transconductors // The 2001 IEEE International Symposium on Circuits and Systems (ISCAS 2001). 06−09 May 2001. V. 1. P. 671−674. DOI: 10.1109/ISCAS.2001.921945.
  11. Smith D., Koen M. and Witulski A.F. Evolution of high-speed operational amplifier architectures // IEEE Journal of Solid-State Circuits. October 1994. V. 29. № 10. P. 1166−1179. DOI: 10.1109/4.315199.
  12. JoAnn Close. High Speed Op Amps: Performance, Process And Topologies // IEEE Bipolar/BiCMOS Circuits and Technology Meeting (BCTM). 30 September – 3 October 2012. P. 1−8. DOI: 10.1109/BCTM.2012.6352648.
  13. Bin Huang and Degang Chen. A Simple Slew Rate Enhancement Technique Wiflnmproved Linearity And Preserved Small Signal Performance // IEEE 57th International Midwest Symposium on Circuits and Systems (MWSCAS). 3−6 August 2014. P. 270−273. DOI: 10.1109/MWSCAS.2014.6908404.
  14. Prokopenko N.N., Gaiduk A.R., Budakov P.X. Buturlagin N.V. The synthesis of the correction circuit of the high speed sensors of the physical quantities and current-voltage converters with the parasitic capacitance // Proceeding of Design & Test Symposium (EWDTS). East-West. Kiev (Ukraine). 26−29 September 2014.
  15. Krithivasan R., Yuan L., Najafizadeh L., Chendong Z., Cressler J.D., Chen S., Ulaganathan C. and Blalock B.J. A High-Slew Rate SiGe BiCMOS Operational Amplifier for Operation Down to Deep Cryogenic Temperatmes // Bipolar/BiCMOS Circuits and Technology Meeting. 8−10 October 200. P. 1−46. DOI: 10.1109/BIPOL.2006.311170.
  16. Dvornikov O.V., Dziatlau V.L., Prokopenko N.N., Petrosiants K.O., Kozhukhov N.V., Tchekhovski V.A. The Accounting of the Simultaneous Exposure of the Low Temperatures and the Penetrating Radiation at the Circuit Simulation of the BiJFET Analog Interfaces of the Sensors // International Siberian Conference on Control and Communications (SIBCON). Astana. 29−30 June 2017.
  17. Kamke E'. Spravochnik po oby'knovenny'm differenczial'ny'm uravneniyam. M.: Nauka. 1976. 576 s.
  18. Dvajt G.B. Tabliczy' integralov i drugie matematicheskie formuly'. M.: Nauka. 1978. 224 s.

© Издательство «РАДИОТЕХНИКА», 2004-2017            Тел.: (495) 625-9241                   Designed by [SWAP]Studio